Question

Fan & medal!

Answer 1

6. Name the like terms in the following expression.

5m + 4 + 3m + 6p


7. Write an equation for the following:

Twelve times h equals one hundred twenty minus thirty-six.State whether the equation
is true, false, or an open sentence. Explain.


8. Use the Distributive Property to simplify. Show all steps.

8(6 – 2) (2 points)


9. Use the Distributive Property to multiply. Show all steps.

7(c + 4) (2 points)


10. Simplify the following expression.

z – 2z + 4z + 6

Answer 2

@gelidium

Answer 3

@B.R I am sorry I am not used to help in Mathematics.

Answer 4

Okaaayyy....

Answer 5

This is what you need to know for problem 6.
Polynomials are made of terms. A term has to have a number and zero or more variables (letters). If two terms have exactly the same variables and with the same exponents, then the terms are like terms.

Answer 6

For problem 7, do this:
"Twelve times h" is 12h
"one hundred twenty minus thirty-six" is 120 - 36
Since the sentence includes the word equals, use the equal sign: =
The equation is
12h = 120 - 36
That can be simplified to
12h = 84 by combining like terms on the right side.
Now the question is whether this equation is true, false, or open.
That depends on the value of h.
There is a certain value of h that will make the equation true.
Since all we have is 12h = 84, we cannot call it either true or false.
That means it's an open sentence.

Answer 7

Problem 8.
The distributive property is this:
a(b - c) = ab - ac
Here is an example with numbers:
6(8 - 2) = 6 * 8 - 6 * 2 = 48 - 12 = 36
Do exactly the same as I did in the example using the numbers of your problem.

Answer 8

Problem 9 uses the distributive property with a sum.
Here is the distributive property:
a(b + c) = ab + ac
Here is an example similar to yours:
5(b + 3) = 5b + 5 * 3 = 5b + 15
Now try your example using what I did above.

Answer 9

10. When a variable is written alone, it means 1 times the variable.
Examples
z = 1z
x = 1x
b = 1b
When you combine like terms (terms with the same variable part), just add the numbers of the terms (called coefficients) and then write the variable part.
Examples:
4x + 5x = 9x
6x - 3x = 3x
z + 2z = 3z (because z is really 1z, so 1z + 2z = 3z)
6x - 2x + 6x = 10x

In problem 10, there are three li9ke terms with the variable z that can be combined together. The number has to be left as a number added to the rest.